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Mathematics
Mathematics
Problem
If
A
A
A
and
B
B
B
are invertible matrices of the same order, then
(
B
−
1
A
T
)
−
1
(B^{-1}A^{T})^{-1}
(
B
−
1
A
T
)
−
1
equals a)
B
(
A
−
1
)
T
B(A^{-1})^{T}
B
(
A
−
1
)
T
b)
A
−
1
B
A^{-1}B
A
−
1
B
c)
(
A
−
1
)
T
B
(A^{-1})^{T} B
(
A
−
1
)
T
B
d)
B
A
T
B A^{T}
B
A
T
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